An interesting symplectic 4-manifold with small Euler characteristic
| dc.creator | Baldridge, Scott | |
| dc.creator | Kirk, Paul | |
| dc.date | 2007-01-15 | |
| dc.date | 2007-01-29 | |
| dc.date.accessioned | 2026-07-07T07:43:19Z | |
| dc.date.available | 2026-07-07T07:43:19Z | |
| dc.description | In this article we construct a minimal symplectic 4-manifold R that has small Euler characteristic (e(R)=8) and two essential Lagrangian tori with nice properties. These properties make R particularly suitable for constructing interesting examples of symplectic manifolds with small Euler characteristic. In particular, we construct an exotic symplectic CP^2# 5(-CP^2), the smallest known minimal symplectic 4-manifold with pi_1=Z, the smallest known minimal symplectic 4-manifolds with pi_1=Z/a + Z/b for all a,b in Z, and the smallest known minimal symplectic 4-manifold with pi_1=Z^3. We use the pi_1=Z example to derive a significantly better upper bound on the minimal Euler characteristic of all symplectic 4-manifolds with a prescribed fundamental group. | |
| dc.description | revised. 13 pages. details on minimality and more examples | |
| dc.identifier | https://arxiv.org/abs/math/0701400 | |
| dc.identifier | http://arxiv.org/abs/math/0701400 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122776 | |
| dc.subject | Geometric Topology | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.subject | 57R1757M05, 54D05 | |
| dc.title | An interesting symplectic 4-manifold with small Euler characteristic | |
| dc.type | text |